Conditionally rigorous mitigation of multiqubit measurement errors

Abstract

Several techniques have been recently introduced to mitigate errors in near-term quantum computers without the overhead required by quantum error correcting codes. While most of the focus has been on gate errors, measurement errors are significantly larger than gate errors on some platforms. A widely used {\it transition matrix error mitigation} (TMEM) technique uses measured transition probabilities between initial and final classical states to correct subsequently measured data. However from a rigorous perspective, the noisy measurement should be calibrated with perfectly prepared initial states and the presence of any state-preparation error corrupts the resulting mitigation. Here we develop a measurement error mitigation technique, conditionally rigorous TMEM, that is not sensitive to state-preparation errors and thus avoids this limitation. We demonstrate the importance of the technique for high-precision measurement and for quantum foundations experiments by measuring Mermin polynomials on IBM Q superconducting qubits. An extension of the technique allows one to correct for both state-preparation and measurement (SPAM) errors in expectation values as well; we illustrate this by giving a protocol for fully SPAM-corrected quantum process tomography.

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Cited by in corpus (9)

• Extensive characterization of a family of efficient three-qubit gates at the coherence limit
• Experimental Simulation of Larger Quantum Circuits with Fewer Superconducting Qubits
• Noise-Resistant Quantum State Compression Readout
• Complete physical characterization of QND measurements via tomography
• Evaluating the Resilience of Variational Quantum Algorithms to Leakage Noise
• Mitigating Quantum Errors via Truncated Neumann Series
• Benchmarking the quality of multiplexed qubit readout beyond assignment fidelity
• Optimization via Quantum Preconditioning
• Detecting and Eliminating Quantum Noise of Quantum Measurements